TY - JOUR
ID - 23850
TI - Subspace-diskcyclic sequences of linear operators
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Azimi, Mohammad Reza
AD - Department of Mathematics, Faculty of Sciences, University of Maragheh, Maragheh, Iran.
Y1 - 2017
PY - 2017
VL - 08
IS - 1
SP - 97
EP - 106
KW - Sequences of operators
KW - Diskcyclic vectors
KW - Subspace-diskcyclicity
KW - Subspace-hypercyclicity
DO - 10.22130/scma.2017.23850
N2 - A sequence $\{T_n\}_{n=1}^{\infty}$ of bounded linear operators on a separable infinite dimensional Hilbert space $\mathcal{H}$ is called subspace-diskcyclic with respect to the closed subspace $M\subseteq \mathcal{H},$ if there exists a vector $x\in \mathcal{H}$ such that the disk-scaled orbit $\{\alpha T_n x: n\in \mathbb{N}, \alpha \in\mathbb{C}, | \alpha | \leq 1\}\cap M$ is dense in $M$. The goal of this paper is the studying of subspace diskcyclic sequence of operators like as the well known results in a single operator case. In the first section of this paper, we study some conditions that imply the diskcyclicity of $\{T_n\}_{n=1}^{\infty}$. In the second section, we survey some conditions and subspace-diskcyclicity criterion (analogue the results obtained by some authors in \cite{MR1111569, MR2261697, MR2720700}) which are sufficient for the sequence $\{T_n\}_{n=1}^{\infty}$ to be subspace-diskcyclic(subspace-hypercyclic).
UR - https://scma.maragheh.ac.ir/article_23850.html
L1 - https://scma.maragheh.ac.ir/article_23850_39a0664f6ddf12b1b192462ffddd7aaf.pdf
ER -